The population after 3 years would be 8.20 millions.
Step-by-step explanation:
Given,
Initial population = I = 4.2 million
Growing rate = r = 25%
If the initial population and growing rate is given, the formula to calculate the population (x) after n years would be:
[tex]x = I * (1 + \frac{r}{100} )^{n}[/tex]
By putting the values in the equation, we get
[tex]x = 4.2 * (1 + \frac{25}{100} )^{n}[/tex]
The population after 1st year (x1) would be
[tex]x1 = 4.2 * (1 + \frac{25}{100} )^{1}[/tex]
x1 = 5.25 million
Similarly,
[tex]x2 = 4.2 * (1 + \frac{25}{100} )^{2}[/tex]
x2 = 6.56 million
[tex]x3 = 4.2 * (1 + \frac{25}{100} )^{3}[/tex]
x3 = 8.20 million
Hence, the population after 3 years would be 8.20 millions.
But, if you are asking about the total population at that time. It would be
I + x1 + x2 + x3 = 24.21 million
